Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((2•3x2) - 11x) - 35
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 6x2-11x-35
The first term is, 6x2 its coefficient is 6 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 6 • -35 = -210
Step-2 : Find two factors of -210 whose sum equals the coefficient of the middle term, which is -11 .
| -210 | + | 1 | = | -209 | ||
| -105 | + | 2 | = | -103 | ||
| -70 | + | 3 | = | -67 | ||
| -42 | + | 5 | = | -37 | ||
| -35 | + | 6 | = | -29 | ||
| -30 | + | 7 | = | -23 | ||
| -21 | + | 10 | = | -11 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -21 and 10
6x2 - 21x + 10x - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (2x-7)
Add up the last 2 terms, pulling out common factors :
5 • (2x-7)
Step-5 : Add up the four terms of step 4 :
(3x+5) • (2x-7)
Which is the desired factorization
Final result :
(2x - 7) • (3x + 5)
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